In this paper, we obtain certain Lpw（Rn）-mapping properties for the maximal operator associated with the commutators of quasiradial Bochner-Riesz means with index δ under certain surface condition on Σed , provide...In this paper, we obtain certain Lpw（Rn）-mapping properties for the maximal operator associated with the commutators of quasiradial Bochner-Riesz means with index δ under certain surface condition on Σed , provided that δ （n-1）/2, b ∈ BMO（Rn）, 1 p ∞ and w ∈ A1 . Moreover, if δ （n-1）/2, then we prove that the above maximal operator admits weak type （H1w（Rn）, L1w（Rn））-mapping properties for b ∈ BMO（Rn） and w ∈ A1 under the surface condition on Σed .展开更多
基金Supported by School of Education, Korea University Grant in 2011
文摘In this paper, we obtain certain Lpw（Rn）-mapping properties for the maximal operator associated with the commutators of quasiradial Bochner-Riesz means with index δ under certain surface condition on Σed , provided that δ （n-1）/2, b ∈ BMO（Rn）, 1 p ∞ and w ∈ A1 . Moreover, if δ （n-1）/2, then we prove that the above maximal operator admits weak type （H1w（Rn）, L1w（Rn））-mapping properties for b ∈ BMO（Rn） and w ∈ A1 under the surface condition on Σed .
